UDC 519.9
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2 National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,” Kyiv, Ukraine
 vera.zrazhevska@gmail.com
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3 V.M. Glushkov Institute of Cybernetics of NAS of Ukraine, Kyiv, Ukraine
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DEVELOPING A MODEL FOR THE MODULATING MIRROR
FIXED ON ACTIVE SUPPORTS: A STOCHASTIC MODEL
Abstract. The paper proposes a stochastic version of the problem of modulating a mirror fixed on active supports. It is assumed that the mirror has several defects of elliptical form with stochastic parameters. The problem is to find the control forces that provide the best approximation of a given shape and phase of the mirror oscillation taking into consideration defects with undefined geometric and mechanical characteristics. It is supposed that the system works inappropriately (i.e., “fails”) if the phase or amplitude deviates from the target more than some specified threshold. To minimize the risk of such deviation, we use Buffered Probability of Exceedance (bPOE) as a measure of risk.
Keywords: risk; CVaR; bPOE; structural reliability; modulating a mirror; amplitude and phase of oscillation; optimization.
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